Atkin-Lehner |
3- 5+ 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
124425r |
Isogeny class |
Conductor |
124425 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
25344000 |
Modular degree for the optimal curve |
Δ |
2.3730257665978E+24 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7- -1 5 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-86630925,301374478156] |
[a1,a2,a3,a4,a6] |
j |
6312407288015085727744/208331480195142885 |
j-invariant |
L |
1.6247472846615 |
L(r)(E,1)/r! |
Ω |
0.081237422380712 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41475h1 24885k1 |
Quadratic twists by: -3 5 |